Ricci and matter collineations of locally rotationally symmetric space-times

Details Ricci and matter collineations of locally rotationally symmetric space-times Ricci and matter collineations of locally rotationally symmetric space-times

2003-09-05

arxiv.org/abs/gr-qc/0309034v1

Gen.Rel.Grav. 36 (2004) 47-69

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, Latex; to appear in General Relativity and Gravitation

Scientific paper

10.1023/B:GERG.0000006693.75816.

A new method is presented for the determination of Ricci Collineations (RC) and Matter Collineations (MC) of a given spacetime, in the cases where the Ricci tensor and the energy momentum tensor are non-degenerate and have a similar form with the metric. This method reduces the problem of finding the RCs and the MCs to that of determining the KVs whereas at the same time uses already known results on the motions of the metric. We employ this method to determine all hypersurface homogeneous locally rotationally symmetric spacetimes, which admit proper RCs and MCs. We also give the corresponding collineation vectors.

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